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Journal of Applied Mathematics and Decision Sciences
Volume 2006, Article ID 95912, 9 pages
http://dx.doi.org/10.1155/JAMDS/2006/95912

An analytical characterization for an optimal change of Gaussian measures

School of Mathematical Sciences, Claremont Graduate University, Claremont 91711, CA, USA

Received 25 February 2006; Revised 9 June 2006; Accepted 9 June 2006

Copyright © 2006 Henry Schellhorn. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. F. Bellini and M. Frittelli, “On the existence of minimax martingale measures,” Mathematical Finance, vol. 12, no. 1, pp. 1–21, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. F. Delbaen, P. Grandits, T. Rheinländer, D. Samperi, M. Schweizer, and C. Stricker, “Exponential hedging and entropic penalties,” Mathematical Finance, vol. 12, no. 2, pp. 99–123, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. D. Duffie and H. R. Richardson, “Mean-variance hedging in continuous time,” The Annals of Applied Probability, vol. 1, no. 1, pp. 1–15, 1991. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. M. R. Grasselli and T. R. Hurd, “Wiener chaos and the Cox-Ingersoll-Ross model,” Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, vol. 461, no. 2054, pp. 459–479, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  5. S. Levendorskii, “Pseudo-diffusions and quadratic term structure models,” Working paper, University of Texas, Austin, January 2004. View at Google Scholar
  6. O. L. Mangasarian, “Sufficient conditions for the optimal control of nonlinear systems,” SIAM Journal on Control and Optimization, vol. 4, no. 1, pp. 139–152, 1966. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. T. Rheinlaender, private communication, 2004.
  8. R. Rouge and N. El Karoui, “Pricing via utility maximization and entropy,” Mathematical Finance, vol. 10, no. 2, pp. 259–276, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. P. Sannutti, “Singular perturbation method in the theory of optimal control,” Report R-379, University of Illinois, Illinois, 1966. View at Google Scholar
  10. H. Schellhorn, “Optimal changes of Gaussian measures, with an application to finance,” Under second round of revision with Applied Mathematical Finance, 2006.
  11. M. Schweizer, “Approximation pricing and the variance-optimal martingale measure,” The Annals of Probability, vol. 24, no. 1, pp. 206–236, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet